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Finding the Third Proportional to 1,022,661 and 2,231,946

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Solution

The third proportional to 1,022,661 and 2,231,946 is: 4,871,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,661 : 2,231,946 = 2,231,946 : x
  2. Step 2: Convert to fraction form
    1,022,661/2,231,946 = 2,231,946/x
  3. Step 3: Cross multiply
    1,022,661x = 2,231,946 × 2,231,946
  4. Step 4: Simplify right side
    1,022,661x = 4,981,582,946,916
  5. Step 5: Solve for x
    x = 4,981,582,946,916/1,022,661
  6. Step 6: Final answer
    x = 4,871,196.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.